kkmonsterhigh18
25.01.2020 •
Mathematics
The park is 6 mi due east of freeport high school, and the library is 4 mi due west of the school. the police department is located due north of the school and is 5 mi from the library.
how far is the police department from the park? round to the nearest tenth of a mile.
blank mi
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Ответ:
Since the right triangle is present, to calculate this we will use the Pythagorean theorem. According to the Pythagorean theorem, the square of the hypotenuse (c²) is equal to the sum of the squares of two other sides (a² + b²):
c² = a² + b²
First, we need to express symbols:
b - side of the right triangle (distance between police department and Freeport High School).
a1 - side of the first right triangle (distance between library and Freeport High School).
a2 - side of the second right triangle (distance between park and Freeport High School).
c1 - hypotenuse of the first triangle (distance between police department and library).
c2 - hypotenuse of the second triangle (distance between police department and park).
Therefore, we need to calculate c2.
It is given:
a2 = 6 mi
a1 = 4 mi
c1 = 5 mi
First, let's calculate b, which is a common side for two triangles:
c1² = a1² + b²
b² = c1² - a1²
b² = 5² - 4²
b² = 25 - 16
b² = 9
√b² = √9
b = 3.
We know b, now we can calculate c2:
c2² = a2² + b²
c2² = 6² + 3²
c2² = 36 + 9
c2² = 45
√c2² = √45
c2 = 6.7
The distance between police department and park is 6.7 miles.
Ответ:
$47.66
Step-by-step explanation:
The cost of the sweater is calculated by multiplying .7 x $35. (70% represents the cost of the sweater since there is a 30% discount.). The sweater cost $24.50.
The cost of the jeans is .85 x $28 = $23.80.
The total cost is $24.50 + $23.80 = $43.80.
The tax rate is 8%, which is calculated by multiplying .08 x $43.80 = $3.86 in sales tax.
Including the sales tax, the total cost is $43.80 + 3.86 = $47.66